A088155 Value of n-th digit in hexadecimal representation of n^n.

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 8, 10, 6, 14, 15, 8, 2, 0, 0, 13, 11, 5, 8, 6, 0, 12, 6, 0, 12, 1, 11, 2, 4, 11, 11, 3, 15, 8, 4, 10, 1, 14, 1, 14, 0, 6, 0, 5, 14, 12, 9, 9, 1, 4, 2, 1, 0, 10, 7, 15, 4, 10, 15, 3, 13, 1, 12, 7, 15, 14, 4, 7, 1, 14, 8, 5, 8, 4, 9, 9, 13, 6

Offset: 0

Author

Reinhard Zumkeller, Sep 20 2003

Keywords

• nonn
• base

Comments

a(n)=d(n) with n^n = Sum(d(k)*16^k: 0<=d(k)<16, k>=0).

Examples

			n=20, 20^20=1048576*10^20 -> [56BC75E2D6310000000000], a(20)=6.
a(0)=1, a(k)=0 for 0<k<16 and a(16)=1.
		

Links

• Eric Weisstein's World of Mathematics, Hexadecimal

Crossrefs

Cf. A000312, A088150, A088151, A088152, A088153, A088154, A088156, A088157.

Formula

a(n) = floor(n^n / 16^n) mod 16.